
Topic: Fluids
Concepts: General Newton’s 2nd law, Statics
Solution:
First, we study the force on one U-tube:

To find the force the stream of water exerts on the U-tube, we consider a small time interval where a small mass of water enters from the left at the top of the U-tube. Since the water is flowing at velocity , the length of this segment is so
At the same time, we have of water leaving to the left with velocity at the bottom of the U-tube. Thus, in time , water of mass effectively has its velocity changed from to . This change in momentum can be attributed to the force from the U-tube on the water,
By Newton’s 3rd law, this is also the force the water exerts on the U-tube. Going to the tube assembly of two U-tubes, since the net force is zero, we balance forces from each side:
so the answer is C.

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